Summary of Part III

Lukas Burgholzer, Robert Wille

Alexander A. Lisyansky, E. S. Andrianov, Alexey P. Vinogradov +1 more

Lukas Burgholzer, Robert Wille

Yves Pomeau A, Minh-Binh Tran

Juno Ryu

In this article, a new topological way to define first quantization procedure is overviewed. Technical ingredients and metaphysical ideas used throughout this series of works are introduced in a way as non-technical as possible for motivating both physically and mathematically interested readers. This overview contains schematic summary of part II and part III of this series.

Karl Svozil

Part I Embedded observers, reflexive perception and representation: Intrinsic and extrinsic observation mode -- Embedded observers and self-expression -- Reflexive measurement -- Intrinsic self-representation -- Part II Provable unknowns: On what is entirely hopeless -- Forecasting and unpredictability -- Induction by rule inference -- Other types of recursion theoretic unknowables -- What if there are no laws? Emergence of laws -- Part III Quantum unknowns: "Shut up and calculate" -- Evolution by permutation -- Quantum mechanics in a nutshell -- Quantum oracles -- Vacuum fluctuations -- Radioactive decay -- Part IV Exotic unknowns: Classical continua and infinities -- Classical (in)determinism -- Deterministic chaos -- Partition logics, finite automata and generalized urn models -- Part V Transcendence: Miracles -- Dualistic interfaces -- Part VI Executive summary: Executive summary -- Appendix A: Formal (in)computability and randomness -- B: Two particle correlations and expectations